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arXiv 0907.1163hep-ph
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泡利代数中心扩张产生的水平对称规范场理论

Gauge Field Theory of Horizontal Symmetry Generated by a Central Extension of the Pauli Algebra

Ikuo S. Sogami

摘要:

本文推广了粒子物理学的标准模型,使之具有由简单李代数$\mathfrak{su}(2)$和$\mathfrak{su}(3)$之间的中介代数生成的水平对称性。在一定的高能标度$\breveΛ$之上,水平规范对称性被假定为成立,这样基本费米子、夸克和轻子就形成了它的基本三重态,而水平规范场的三重态和单重态区分了各代的自由度。引入水平标量三重态,通过破缺$\breveΛ$处的水平对称性,使规范场具有超大质量。从这一标量三重态中产生了实标量场,它们不与除中微子外的费米子相互作用,并可能对宇宙的演化产生重大影响。另一个在低能标度$Λ\simeq 2\times 10^2$ GeV下打破电弱对称性的水平标量三重态再现了温伯格-萨拉姆理论的所有结果,以统一的方式产生了具有较少未知参数的分级质量矩阵,并预测了六个大质量标量粒子,其中一些可能在未来的LHC实验中观察到。

英文摘要:

The standard model of particle physics is generalized so as to be furnished with a horizontal symmetry generated by an intermediary algebra between simple Lie algebras $\mathfrak{su}(2)$ and $\mathfrak{su}(3)$. Above a certain high energy scale $\breveΛ$, the horizontal gauge symmetry is postulated to hold so that the basic fermions, quarks and leptons, form its fundamental triplets, and a triplet and singlet of the horizontal gauge fields distinguish generational degrees of freedom. A horizontal scalar triplet is introduced to make the gauge fields super-massive by breaking the horizontal symmetry at $\breveΛ$. From this scalar triplet, there emerge real scalar fields which do not interact with fermions except for neutrino species and may give substantial influence on evolution of the universe. Another horizontal scalar triplet which breaks the electroweak symmetry at a low energy scale $Λ\simeq 2\times 10^2$GeV reproduces all of the results of the Weinberg-Salam theory, produces hierarchical mass matrices with less numbers of unknown parameters in a unified way and predicts six massive scalar particles, some of which might be observed by the future LHC experiment.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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